关于零属轨道Gromov-Witten不变量的加权放大公式

IF 1.3 1区数学 Q1 MATHEMATICS

Compositio Mathematica Pub Date : 2023-07-19 DOI:10.1112/S0010437X23007315

Bohui Chen, Cheng-Yong Du

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引用次数: 0

摘要

本文给出了一种证明格零轨道Gromov-Witten不变量的加权爆破公式的新方法。因此，我们证明了沿正中心的加权爆破的辛有理连通性的不变性。此外，我们还利用该方法给出了Gromov-Witten不变量的格零相对轨道对应性的一个新的证明。

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On weighted-blowup formulae of genus zero orbifold Gromov–Witten invariants

In this paper, we provide a new approach to prove some weighted-blowup formulae for genus zero orbifold Gromov–Witten invariants. As a consequence, we show the invariance of symplectically rational connectedness with respect to weighted-blowup along positive centers. Furthermore, we use this method to give a new proof to the genus zero relative-orbifold correspondence of Gromov–Witten invariants.

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来源期刊

Compositio Mathematica 数学-数学

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Compositio Mathematica is a prestigious, well-established journal publishing first-class research papers that traditionally focus on the mainstream of pure mathematics. Compositio Mathematica has a broad scope which includes the fields of algebra, number theory, topology, algebraic and differential geometry and global analysis. Papers on other topics are welcome if they are of broad interest. All contributions are required to meet high standards of quality and originality. The Journal has an international editorial board reflected in the journal content.